Monday, July 20, 2009

Assignment-Coordinate Geometry

1.If the vertices of a triangle are (2,4), (5,k) and (3,10) and its area is15 sq cm. Find the value of k.2. Find the distance of a point (2,3) from origin.3. The three vertices of a rhombus, taken in order are (2,-1), (3,4) and(-2,3). Find the fourth vertex.4. Are (4,8) ,(7,5) and (1,-1) the vertices of a right triangle?5. There are two points A(-2,-3) and B(2,3). Is the distance of thesepoints from origin is same?6. If (-2,-1), (a,0), (4,3) and (1,2) are the vertices of a parallelogram.Find the value of a.7. Find the distance between the points (-4,p) and (5,q).8. Find the area of the triangle formed by the points P(2,1), Q(6,1) andR(2,4).9. On which axis the point (-5,0) lie?10. Find the value of p for which the points (-1,3) , (2,p) and (5,-1) arecollinear.11. Find the relation between x and y if the points (x,y),(1,2) and (7,0) arecollinear.12. Find the coordinates of the point which divides the line segmentjoining the points (4, – 3) and (8, 5) in the ratio 3 : 1 internally.13. If A(–5, 7), B(– 4, –5), C(–1, –6) and D(4, 5) are the vertices of aquadrilateral, find the area of the quadrilateral ABCD.14. Find a relation between x and y such that the point (x , y) isequidistant from the points (7, 1) and (3, 5).15. Find the coordinates of the points of trisection of the line segmentjoining the points A(2, – 2) and B(– 7, 4).16. If A(5, -1), B(-3, -2) and C(-1, 8) are the vertices of triangle ABC, findthe length of median through A and the coordinates of the centroid.17. Prove that the points (-3, 0), (1, -3) and (4,1) are the vertices of anisosceles right angled triangle. Find the area of this triangle.18. Find the area of the triangle formed by joining the mid – points of thesides of the triangle whose vertices are (0, -1),(2, 1) and (0, 3).Find the ratio of the area of the triangle formed to the area of the giventriangle.19. If A( -2, -1) , B( a, 0) C( 4, b) and D(1, 2) are the vertices of aparallelogram , find the values of a and b.20. Let the opposite points of a square be ( 3, 4) and (1, -1) . Find thecoordinates of the remaining angular points.21. If two vertices of an equilateral triangle be ( 0 , 0) , ( 3 , √3 ). Find thethird vertex.22. If the point C ( -1 ,2) divides internally the line segment joining A(2,5)and B in the ratio 3:4. Find the coordinates of B.23. Find the coordinates of the circumcentre of the triangle whosevertices are (8,6) (8,-2) and (2,-2) .24. If the vertex of a triangle be (1,1) and the middle points of the sidesthrough it be ( -2 , 3) and (5,2). Find the other vertices.25. In the figure BOA is a right triangle and C is the midpoint of hyptAB.Show that it is equidistant from the vertices O,A and B.

No comments:

Post a Comment

Pages

Planet Infinity

About Me

I am a mathematics teacher.I believe not to confined teaching to prescribed books only but to use modern method of teaching to make it interesting by using innovative tools and linking the knowledge to the daily life events.